LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 919/74, 104/204

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 919/74, 104/204 i.e 1/7548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 919/74, 104/204.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 919/74,104/204?

Given fractions are 919/74,104/204

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 919/74,104/204, numerators are 919,104

Denominators are 74,204

The GCF of 919,104 is 1 .

LCM of 74,204 is 7548.

The greatest common factor of 919/74,104/204 = [GCF of 919,104]/[LCM of 74,204]= 1/7548

Therefore, the GCF of 919/74,104/204 is 1/7548.

Greatest Common Factor of 919,104

To find the highest common factor of 919,104, we have to find the factors of both numbers and list the highest common factor.

The factors of 919 are 1, 919

The factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104

The HCF of 919,104 is 1.

Lets's calculate GCF of 919,104

Greatest Common Factor (GCF) of 919,104 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 919,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 919,104 By Matching Biggest Common Factor Method

Now, list down the factors of 919

:

1,919

Now, list down the factors of 104

:

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 919,104 . The biggest common factor number is the GCF number.
So the greatest common factor 919,104 is 1.

Lets's calculate LCM of 74,204

Lowest Common Multiple of 74,204 using Common Division

2 74, 204
37, 102

∴ So the LCM of the given numbers is 2 x 37 x 102 = 7548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7548

Therefore, the GCF of Fractions 919/74,104/204 is 1/7548

Least Common Multiple of 74,204 with GCF Formula

Least Common Multiple of 74,204 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 74,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,204) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(74,204) x common factors =2 x 1 = 2

LCM(74,204) = ( 74 × 204 ) / 2

LCM(74,204) = 15096 / 2

LCM(74,204) = 7548


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 919/74, 104/204

1. What is the HCF of 919,104?

The HCF of 919,104 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 919/74, 104/204?

Answer: GCF of Numerators as per given numbers 919/74, 104/204 is

GCF of Numerators i.e. for 919,104 is 1

LCM of denominators i.e. for 74,204 is 7548.

Thus, GCF of Fractions is 1/7548.Finally, GCF of Fractions for 919/74, 104/204 is 1/7548.